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Details for:
Mathematics Book Collection - Diophantine
mathematics book collection diophantine
Type:
E-books
Files:
121
Size:
499.9 MB
Uploaded On:
Aug. 3, 2016, 2:26 a.m.
Added By:
bubonic31
Seeders:
2
Leechers:
0
Info Hash:
7A5D5045A7FD52E967B0E174B4FD0F9A144F05B8
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In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values). A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. An exponential Diophantine equation is one in which exponents on terms can be unknowns. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it. The word Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra. The mathematical study of Diophantine problems that Diophantus initiated is now called Diophantine analysis. ax + by = 1 This is a linear Diophantine equation. Diophantine geometry is one approach to the theory of Diophantine equations, formulating questions about such equations in terms of algebraic geometry over a ground field K that is not algebraically closed, such as the field of rational numbers or a finite field, or more general commutative ring such as the integers. A single equation defines a hypersurface, and simultaneous Diophantine equations give rise to a general algebraic variety V over K; the typical question is about the nature of the set V(K) of points on V with co-ordinates in K, and by means of height functions quantitative questions about the "size" of these solutions may be posed, as well as the qualitative issues of whether any points exist, and if so whether there are an infinite number. Given the geometric approach, the consideration of homogeneous equations and homogeneous co-ordinates is fundamental, for the same reasons that projective geometry is the dominant approach in algebraic geometry. Rational number solutions therefore are the primary consideration; but integral solutions (i.e. lattice points) can be treated in the same way as an affine variety may be considered inside a projective variety that has extra points at infinity. Enjoy!
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A Coll. of Diophantine Probs. With Solns. [Classic Reprint]_J. Matteson.pdf
2.6 MB
A Coll. of Diophantine Probs. With Solns._J. Matteson.pdf
2.3 MB
A collection of Diophantine problems with solutions_James Matteson.djvu
1.2 MB
A collection of diophantine problems with solutions_James Matteson-2.djvu
1.2 MB
Algebraic numbers and Diophantine approximation_Kenneth B Stolarsky.djvu
1.8 MB
Algorithms for Diophantine Equations_B.M.M. de Weger.pdf
3.3 MB
Algorithms for diophantine equations_de Weger B.M.M..djvu
1.3 MB
An Introduction to Diophantine Approximation (Cambridge tracts in mathematics and mathematical p.djvu
2.4 MB
An Introduction to Diophantine Equations: A Problem-Based Approach_Titu Andreescu.pdf
1.7 MB
An Introduction to Diophantine Equations_Titu Andreescu.pdf
7.1 MB
An easier solution of a Diophantine problem about triangles, in which those lines from the verti.pdf
63.6 KB
An introduction to Diophantine approximation_Cassels J.W.S..djvu
2.5 MB
An introduction to Diophantine equations: A problem-based approach_Andreescu T..pdf
1.5 MB
An introduction to Diophantine equations_Andreescu T.-1.djvu
3.0 MB
An introduction to Diophantine equations_Andreescu T..djvu
2.6 MB
An introduction to diophantine approximation_J. W. S Cassels.pdf
2.8 MB
An introduction to diophantine approximation_J.W.S. Cassels.djvu
1.6 MB
Analytic Methods for Diophantine Equations and Diophantine Inequalities (Cambridge Mathematical .pdf
2.9 MB
Analytic Number Theory and Diophantine Problems: Proceedings of a Conference at Oklahoma State U.pdf
5.9 MB
Analytic methods for Diophantine equations and Diophantine inequalities_Harold Davenport.pdf
820.9 KB
Analytic methods for Diophantine equations and inequalities_H. Davenport.ps.gz
458.5 KB
Analytic methods for diophantine equations and diophantine inequalities_H. Davenport.pdf
1000.8 KB
Classical Diophantine Equations_Vladimir G. Sprindzuk.pdf
10.1 MB
Classical Diophantine equations_Vladimir G. Sprindzuk.djvu
1.5 MB
Davenport H Analytic methods for Diophantine equations and inequalities (CUP draft_.pdf
763.2 KB
Differential algebra and diophantine geometry_Alexandru Buium-1.djvu
2.0 MB
Differential algebra and diophantine geometry_Alexandru Buium.djvu
1.7 MB
Diophantine Analysis_R. D. (Robert Daniel) Carmichael.djvu
907.1 KB
Diophantine Approximation and Abelian Varieties: Introductory Lectures_B. Edixhoven.pdf
5.4 MB
Diophantine Approximation and Abelian Varieties_Frits Beukers (auth.).pdf
2.5 MB
Diophantine Approximation and Transcendence Theory: Seminar, Bonn (FRG) May – June 1985_Jean-L.pdf
3.4 MB
Diophantine Approximation and Transcendence Theory: Seminar, Bonn (FRG) May-June, 1985_Wuestholz.djvu
795.5 KB
Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponentia.pdf
23.1 MB
Diophantine Approximation: Festschrift for Wolfgang Schmidt (Developments in Mathematics) (Engli.pdf
2.3 MB
Diophantine Approximation: Festschrift for Wolfgang Schmidt_Robert F. Tichy.pdf
2.4 MB
Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, .pdf
2.6 MB
Diophantine Approximation_Schmidt W.M..djvu
839.8 KB
Diophantine Approximation_Wolfgang M. Schmidt (auth.).pdf
3.6 MB
Diophantine Approximations _Ivan Niven.djvu
1.1 MB
Diophantine Approximations And Diophantine Equations_Wolfgang M. Schmidt.pdf
6.6 MB
Diophantine Approximations _Ivan Niven.djvu
518.3 KB
Diophantine Approximations and Diophantine Equations_Wolfgang M. Schmidt.djvu
1.2 MB
Diophantine Approximations and Value Distribution Theory_Votja P. A..djvu
845.3 KB
Diophantine Equations _L.J. Mordell.pdf
12.1 MB
Diophantine Equations and Inequalities in Algebraic Number Fields_Prof. Wang Yuan (auth.).pdf
15.4 MB
Diophantine Equations and Power Integral Bases: New Computational Methods_István Gaál (auth.).pdf
13.2 MB
Diophantine Frobenius Problem_Jorge L. Ramírez Alfonsín.pdf
3.6 MB
Diophantine Geometry. Interscience Tracts in Pure and Applied Mathematics Number 11 _Serge Lang.djvu
3.9 MB
Diophantine Geometry: An Introduction (Graduate Texts in Mathematics, 201)_Marc Hindry.pdf
13.3 MB
Diophantine Geometry: An Introduction_Marc Hindry.pdf
54.8 MB
Diophantine Inequalities_R. C. Baker.djvu
2.3 MB
Diophantine analysis_R D. 1879-1967 Carmichael.djvu
736.1 KB
Diophantine analysis_R. D. Carmichael.pdf
626.9 KB
Diophantine approximation and abelian varieties_Bas Edixhoven.djvu
945.2 KB
Diophantine approximation and transcendence theory. Seminar, Bonn_Gisbert Wüstholz.djvu
1.3 MB
Diophantine approximation_W.M. Schmidt.djvu
1.4 MB
Diophantine approximations and value distribution theory_Paul Vojta.djvu
1.3 MB
Diophantine approximations, lecture notes_Masser D..djvu
1.9 MB
Diophantine equations_L.J. Mordell.djvu
2.5 MB
Diophantine equations_Mordell L.J..djvu
3.5 MB
Diophantine geometry: An introduction_Marc Hindry.djvu
10.4 MB
Diophantine geometry_S. Lang.djvu
1.8 MB
Diophantine inequalities_Baker R.C..djvu
2.2 MB
Diophantine.md5sums
4.2 KB
Diophantus and Diophantine Equations _Isabella G. Bashmakova.pdf
2.8 MB
Diophantus and Diophantine Equations_Isabella G. Bashmakova.djvu
1.5 MB
Distribution Modulo One and Diophantine Approximation_Professor Yann Bugeaud.pdf
1.4 MB
Elliptic Curves: Diophantine Analysis_Serge Lang (auth.).pdf
13.7 MB
Elliptic Diophantine Equations: A Concrete Approach Via the Elliptic Logarithm_Nikos Tzanakis.pdf
1.1 MB
Exploring the Number Jungle: A Journey into Diophantine Analysis_Edward B. Burger.djvu
2.3 MB
Exploring the number jungle_Edward B. Burger.djvu
1.1 MB
Exponential Diophantine Equations (Cambridge Tracts in Mathematics 87)_T. N. Shorey.pdf
4.9 MB
Exponential diophantine equations_T. N. Shorey.djvu
1.4 MB
Fundamentals of Diophantine Geometry_Serge Lang (auth.).pdf
9.5 MB
Geometric Theorems, Diophantine Equations, and Arithmetic Functions_Jozsef Sandor.pdf
1.0 MB
Heights in Diophantine Geometry (New Mathematical Monographs)_Enrico Bombieri.pdf
14.1 MB
Heights in Diophantine Geometry_Enrico Bombieri.pdf
13.7 MB
Heights in diophantine geometry_Bombieri E..pdf
3.6 MB
Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields (New Mathematical M.pdf
1.3 MB
Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields_Alexandra Shlapento.djvu
3.4 MB
Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields_Schlapentoh A..pdf
3.0 MB
Hilbert's tenth problem: Diophantine classes and extensions to global fields_Alexandra Shlapento.pdf
1.4 MB
History of the Theory of Numbers, Volume II: Diophantine Analysis _Leonard Eugene Dickson.djvu
12.1 MB
History of the theory of numbers: diophantine analysis_Dickson L.E..djvu
13.3 MB
Introduction to Diophantine Approximations (Cambridge tracts in mathematics and mathematical phy.pdf
3.0 MB
Introduction to Diophantine Approximations: New Expanded Edition_Serge Lang (auth.).pdf
3.5 MB
Introduction to Diophantine approximation_Cassels J.W.S..djvu
1.6 MB
Lecture Notes on Diophantine Analysis_Umberto Zannier (auth.).pdf
1.7 MB
Lectures on Diophantine Approximations Part 1: g-adic numbers and Roth's theorem_Kurt Mahler.pdf
4.9 MB
Lectures on diophantine approximations. g-adic numbers and Roth's theorem_Mahler K..djvu
1.6 MB
Logarithmic Forms and Diophantine Geometry (New Mathematical Monographs)_A. Baker.pdf
825.8 KB
Logarithmic Forms and Diophantine Geometry _A. Baker.pdf
1.2 MB
Logarithmic Forms and Diophantine Geometry_A. Baker.pdf
845.5 KB
Logarithmic Forms and Diophantine Geometry_Baker A..pdf
913.8 KB
Metric Diophantine Approximation on Manifolds (Cambridge Tracts in Mathematics, 137)_Vasiliĭ.pdf
2.5 MB
Metric Diophantine Approximation on Manifolds (Cambridge Tracts in Mathematics, 137)_Vasiliĭ.pdf.1
2.5 MB
Metric diophantine approximation on manifolds_Bernik V.I..djvu
1.2 MB
Moments, monodromy, and perversity: a diophantine perspective_Nicholas M. Katz.pdf
1.2 MB
Nevanlinna Theory in Several Complex Variables and Diophantine Approximation_Junjiro Noguchi.pdf
3.3 MB
Nevanlinna theory and its relation to diophantine approximation_Min Ru.djvu
2.7 MB
Number Theory III: Diophantine Geometry_R. V. Gamkrelidze (auth.).pdf
22.6 MB
Number Theory Volume I: Tools and Diophantine Equations_Henri Cohen.pdf
3.1 MB
Number Theory, Volume 1: Tools and Diophantine Equations_Henri Cohen.pdf
4.1 MB
Number theory 3: Diophantine geometry_Serge Lang.djvu
1.8 MB
Number theory vol.1. Tools and diophantine equations_Henri Cohen.pdf
3.2 MB
On Some Applications of Diophantine Approximations: a translation of Carl Ludwig Siegel’s Übe.pdf
6.7 MB
On finiteness in differential equations and diophantine geometry_Andrei A. Bolibrukh.djvu
2.8 MB
Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting_József Beck (auth.pdf
5.1 MB
Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting_József Beck.pdf
3.0 MB
Quadratic Diophantine Equations_Titu Andreescu.pdf
2.0 MB
Selecta. 2 Vols: Diophantine problems and polynomials_Andrzej Schnizel.pdf
5.0 MB
Some Problems of Diophantine Approximation A Remarkable Trigonometrical Series (1916)(en)(4s)_Ha.pdf
455 bytes
Some Problems of Diophantine Approximation The Series and the Distribution of the Points (1916)(.pdf
500.6 KB
Survey Of Diophantine Geometry_Serge Lang.djvu
4.2 MB
Survey on Diophantine Geometry_Serge Lang.djvu
5.2 MB
The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook_Nigel P. Smart.djvu
2.2 MB
The Diophantine Frobenius Problem (Oxford Lecture Series in Mathematics and Its Applications)_Jo.pdf
4.2 MB
The Diophantine Frobenius problem_Jorge L. Ramírez Alfonsín.pdf
1.1 MB
The algorithmic resolution of Diophantine equations_Nigel P. Smart.djvu
2.3 MB
The algorithmic resolution of diophantine equations _Nigel Paul Smart.pdf
9.7 MB
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